Innovations in Science and Technologies Volume 2 Issue 3 (2025) · pp. 228-239

ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL

Muminov, Zahriddin, Madatova, Fotima, Balqiboyev, Jasur

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Abstract

 We investigate the one-particle discrete Schrödinger operator with Dirac delta potential on the -dimensional cubic lattice. We show that the operator the operator has a unique eigenvalue and obtain an asymptotics expansion for this eigenvalue as wight of potential approaches the infinity. 

Schrödinger operatorspectrumeigenvalueFredholm determinanteigenvalue asymptotics

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Cite

APA 7 
Muminov, Zahriddin, Madatova, Fotima & Balqiboyev, Jasur (2025). ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL. Innovations in Science and Technologies, 2(3), 228-239.
GOST R 7.0.5 
Muminov, Zahriddin, Madatova, Fotima, Balqiboyev, Jasur ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL // Innovations in Science and Technologies. 2025. Т. 2. № 3. С. 228-239.
BibTeX 
@article{zahriddin2025,
  author  = {Muminov, Zahriddin and Madatova, Fotima and Balqiboyev, Jasur},
  title   = {ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL},
  journal = {Innovations in Science and Technologies},
  year    = {2025},
  volume  = {2},
  number  = {3},
  pages   = {228-239}
}
RIS 
TY  - JOUR
AU  - Muminov, Zahriddin
AU  - Madatova, Fotima
AU  - Balqiboyev, Jasur
TI  - ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL
JO  - Innovations in Science and Technologies
PY  - 2025
VL  - 2
IS  - 3
SP  - 228
EP  - 239
ER  -